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Finding the Fourth Proportional to 256,614.50, 384,897.01 and 79,073.84

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Solution

The fourth proportional to 256,614.50, 384,897.01 and 79,073.84 is: 118,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,614.50 : 384,897.01 = 79,073.84 : x
  2. Step 2: Convert to fraction form
    256,614.50/384,897.01 = 79,073.84/x
  3. Step 3: Cross multiply
    256,614.50x = 384,897.01 × 79,073.84
  4. Step 4: Simplify right side
    256,614.50x = 30,435,283,425.29
  5. Step 5: Solve for x
    x = 30,435,283,425.29/256,614.50
  6. Step 6: Final answer
    x = 118,603.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.